42648388561425680440407
42,648,388,561,425,680,440,407 is an odd composite number composed of five prime numbers multiplied together.
42648388561425680440407 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 42648388561425680440407:
35 × 72 × 112 × 13 × 2277044667770137
(3 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 11 × 13 × 2277044667770137)See below for interesting mathematical facts about the number 42648388561425680440407 from the Numbermatics database.
Names of 42648388561425680440407
- Cardinal: 42648388561425680440407 can be written as Forty-two sextillion, six hundred forty-eight quintillion, three hundred eighty-eight quadrillion, five hundred sixty-one trillion, four hundred twenty-five billion, six hundred eighty million, four hundred forty thousand, four hundred seven.
Scientific notation
- Scientific notation: 4.2648388561425680440407 × 1022
Factors of 42648388561425680440407
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 2277044667770171
Divisors of 42648388561425680440407
- Number of divisors d(n): 216
-
Complete list of divisors:
1 3 7 9 11 13 21 27 33 39 49 63 77 81 91 99 117 121 143 147 189 231 243 273 297 351 363 429 441 539 567 637 693 819 847 891 1001 1053 1089 1287 1323 1573 1617 1701 1911 2079 2457 2541 2673 3003 3159 3267 3861 3969 4719 4851 5733 5929 6237 7007 7371 7623 9009 9801 11011 11583 11907 14157 14553 17199 17787 18711 21021 22113 22869 27027 29403 33033 34749 42471 43659 51597 53361 63063 68607 77077 81081 99099 127413 130977 154791 160083 189189 205821 231231 243243 297297 382239 480249 567567 693693 891891 1440747 1702701 2081079 2675673 6243237 18729711 2277044667770137 6831134003310411 15939312674390959 20493402009931233 25047491345471507 29601580681011781 47817938023172877 61480206029793699 75142474036414521 88804742043035343 111575188720736713 143453814069518631 175332439418300549 184440618089381097 207211064767082467 225427422109243563 266414226129106029 275522404800186577 325617387491129591 334725566162210139 430361442208555893 525997318254901647 553321854268143291 621633194301247401 676282266327730689 799242678387318087 826567214400559731 976852162473388773 1004176698486630417 1227327075928103843 1291084326625667679 1450477453369577269 1577991954764704941 1864899582903742203 1928656833601306039 2028846798983192067 2279321712437907137 2397728035161954261 2479701643201679193 2930556487420166319 3012530095459891251 3581791262402425501 3681981227784311529 3873252979877003037 4351432360108731807 4733975864294114823 5594698748711226609 5785970500803918117 6086540396949576201 6837965137313721411 7193184105485862783 7439104929605037579 8791669462260498957 9037590286379673753 10745373787207276503 11045943683352934587 13054297080326195421 13500597835209142273 14201927592882344469 15955251987065349959 16784096246133679827 17357911502411754351 20513895411941164233 22317314788815112737 25072538836816978507 26375008386781496871 27112770859139021259 32236121361621829509 33137831050058803761 39162891240978586263 40501793505627426819 42605782778647033407 47865755961196049877 50352288738401039481 52073734507235263053 61541686235823492699 66951944366445338211 75217616510450935521 79125025160344490613 96708364084865488527 99413493150176411283 117488673722935758789 121505380516882280457 143597267883588149631 156221203521705789159 175507771857718849549 184625058707470478097 225652849531352806563 290125092254596465581 298240479450529233849 352466021168807276367 364516141550646841371 430791803650764448893 468663610565117367477 526523315573156548647 553875176122411434291 676958548594058419689 870375276763789396743 1093548424651940524113 1292375410952293346679 1579569946719469645941 2030875645782175259067 3280645273955821572339 3877126232856880040037 4738709840158408937823 6092626937346525777201 14216129520475226813469 42648388561425680440407
- Sum of all divisors σ(n): 87968556591958160843088
- Sum of proper divisors (its aliquot sum) s(n): 45320168030532480402681
- 42648388561425680440407 is an abundant number, because the sum of its proper divisors (45320168030532480402681) is greater than itself. Its abundance is 2671779469106799962274
Bases of 42648388561425680440407
- Binary: 10010000011111111001010010010110101111000101000100100111101000011100010101112
- Hexadecimal: 0x907F9496BC5127A1C57
- Base-36: 6Y0MGN1N45Z42FR
Squares and roots of 42648388561425680440407
- 42648388561425680440407 squared (426483885614256804404072) is 1818885046886344820371771885805999097478325649
- 42648388561425680440407 cubed (426483885614256804404073) is 77572516228175800892053361969120289335891786162221719274403284099143
-
The
square root of 42648388561425680440407 is 206514862809.9819851811 -
The
cube root of 42648388561425680440407 is 34938228.0656016223
Scales and comparisons
How big is 42648388561425680440407?- 42,648,388,561,425,680,440,407 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,648,388,561,425,680,440,407 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 42648388561425680440407 cubic inches would be around 2911519 feet tall.
Recreational maths with 42648388561425680440407
- 42648388561425680440407 backwards is 70404408652416588384624
- 42648388561425680440407 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 42648388561425680440407's digits is 99
- More coming soon!
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